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Finding the Fourth Proportional to 201.14, 277.59 and 113.82

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Solution

The fourth proportional to 201.14, 277.59 and 113.82 is: 157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.14 : 277.59 = 113.82 : x
  2. Step 2: Convert to fraction form
    201.14/277.59 = 113.82/x
  3. Step 3: Cross multiply
    201.14x = 277.59 × 113.82
  4. Step 4: Simplify right side
    201.14x = 31,595.29
  5. Step 5: Solve for x
    x = 31,595.29/201.14
  6. Step 6: Final answer
    x = 157.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.